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Finding the Fourth Proportional to 4,414, 6,621.18 and 1,336

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Solution

The fourth proportional to 4,414, 6,621.18 and 1,336 is: 2,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,621.18 = 1,336 : x
  2. Step 2: Convert to fraction form
    4,414/6,621.18 = 1,336/x
  3. Step 3: Cross multiply
    4,414x = 6,621.18 × 1,336
  4. Step 4: Simplify right side
    4,414x = 8,845,896.48
  5. Step 5: Solve for x
    x = 8,845,896.48/4,414
  6. Step 6: Final answer
    x = 2,004.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.